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Fixed point: a point that satisfies the equation f (x) = x is a fixed point i.e. x is mapped to itself. S.A. Kripke based his alternative theory of truth from 1975 on fixed points in order to resolve the problem of paradoxes when dealing with self-reference. (Kripke, S., 1975. Outline of a Theory of Truth, The Journal of Philosophy, 72 690-716.). See also self-reference, paradoxes, liar paradox, truth theory.
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Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

 
Author Concept Summary/Quotes Sources

Robert Brandom on Fixed Points - Dictionary of Arguments

I 461
Kripke's fixed points/Brandom: correspond to Grover's anaphoric foundation (prosententional theory).
>Prosentential theory.
For Kripke(1): semantical attribution of a truth value at the minimal fixed point.


1.Saul Kripke Outline of a Theory of Truth (1975) in: R.L.Martin (Ed.) Recent Essays on Truth and the Liar Paradox Clarendon Oxf/NY 1984


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Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

Bra I
R. Brandom
Making it exlicit. Reasoning, Representing, and Discursive Commitment, Cambridge/MA 1994
German Edition:
Expressive Vernunft Frankfurt 2000

Bra II
R. Brandom
Articulating reasons. An Introduction to Inferentialism, Cambridge/MA 2001
German Edition:
Begründen und Begreifen Frankfurt 2001


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> Counter arguments in relation to Fixed Points

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